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International Journal of Mathematical Education in Science and Technology

April 2008 Volume 39, Number 3

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Table of Contents

Number of articles: 17

  1. Mathematics Instruction and the Tablet PC

    K Renee Fister & Maeve L. McCarthy

    The use of tablet PCs in teaching is a relatively new phenomenon. A cross between a notebook computer and a personal digital assistant (PDA), the tablet PC has all of the features of a notebook... More

    pp. 285-292

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  2. Predicting Mathematical Aptitude for Higher Education

    Betty McDonald

    This present study seeks to predict mathematical aptitude for higher education by examining the relationship between mathematics results from the Caribbean Examinations Council (CXC) general... More

    pp. 293-299

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  3. Comparison among Different Patterns of Priority Vectors Estimation Methods

    Stan Lipovetsky

    Benford's law of the "first digits" states that in spite of intuitively expected equal frequency of 1/9 of the decimal digits r = 1, ... , 9 appearance on the first place of any number, various... More

    pp. 301-311

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  4. Behind the Scenes of Pseudo-Proportionality

    Modestina Modestou, Iliada Elia, Athanasios Gagatsis & Giorgos Spanoudis

    In this study, we attempt to put in question students' spontaneous and uncritical application of the simple and neat mathematical formula of linearity. This is impelled with the help of a written... More

    pp. 313-324

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  5. How Does One Assess the Accuracy of Academic Success Predictors? ROC Analysis Applied to University Entrance Factors

    Juana-Maria Vivo & Manuel Franco

    This article attempts to present a novel application of a method of measuring accuracy for academic success predictors that could be used as a standard. This procedure is known as the receiver... More

    pp. 325-340

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  6. Computer-Aided Assessment Questions in Engineering Mathematics Using "MapleTA"[R]

    I S. Jones

    The use of "MapleTA"[R] in the assessment of engineering mathematics at Liverpool John Moores University (JMU) is discussed with particular reference to the design of questions. Key aspects in the ... More

    pp. 341-356

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  7. Estimation of Return Values of Wave Height: Consequences of Missing Observations

    Jesper Ryden

    Extreme-value statistics is often used to estimate so-called return values (actually related to quantiles) for environmental quantities like wind speed or wave height. A basic method for estimation... More

    pp. 357-363

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  8. Intuitive Understanding of Solutions of Partially Differential Equations

    Y Kobayashi

    This article uses diagrams that help the observer see how solutions of the wave equation and heat conduction equation are obtained. The analytical approach cannot necessarily show the mechanisms of... More

    pp. 365-371

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  9. Nearest Neighbour: A Test to See if Data Points Attract Each Other, Repel Each Other or Are Randomly Distributed

    P Belcher

    In this note the Nearest Neighbour Index is investigated in three cases, linear, 2-dimensional and 3-dimensional. In each case the formula is investigated and the numerical values for the data... More

    pp. 371-383

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  10. Alternative Proofs for Inequalities of Some Trigonometric Functions

    Bai-Ni Guo & Feng Qi

    By using an identity relating to Bernoulli's numbers and power series expansions of cotangent function and logarithms of functions involving sine function, cosine function and tangent function,... More

    pp. 384-389

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  11. The Implicit Function Theorem and Non-Existence of Limit of Functions of Several Variables

    A L. C. dos Santos & P N. da Silva

    We use the Implicit Function Theorem to establish a result of non-existence of limit to a certain class of functions of several variables. We consider functions given by quotients such that both... More

    pp. 389-394

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  12. On a Particular Case of Series

    E Capelas de Oliveira

    We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered.... More

    pp. 394-399

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  13. Generalized Laplace Transforms and Extended Heaviside Calculus

    Michael A. B. Deakin

    An extended Heaviside calculus proposed by Peraire in a recent paper is similar to a generalization of the Laplace transform proposed by the present author. This similarity will be illustrated by... More

    pp. 400-403

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  14. A Proof of the Collatz Conjecture

    Paul S. Bruckman

    An elementary proof by contradiction of the Collatz Conjecture (CC) (also known as the "3X + 1" Conjecture), is presented. A modified form of the Collatz transformation is formulated, leading to... More

    pp. 403-407

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  15. The Law of Cosines for an "n"-Dimensional Simplex

    Yiren Ding

    Using the divergence theorem technique of L. Eifler and N.H. Rhee, "The n-dimensional Pythagorean Theorem via the Divergence Theorem" (to appear: Amer. Math. Monthly), we extend the law of cosines ... More

    pp. 407-410

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  16. Systems of Differential Equations with Skew-Symmetric, Orthogonal Matrices

    P Glaister

    The solution of a system of linear, inhomogeneous differential equations is discussed. The particular class considered is where the coefficient matrix is skew-symmetric and orthogonal, and where... More

    pp. 410-418

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  17. Orthocenters of Triangle on the Unit Hypersphere

    Young Joon Ahn & Ji Hye Lee

    In this note, we present a property of the orthocenters of triangle on the unit hypersphere. More

    pp. 419-421

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